Question

which transformation would take figure a to figure b?
answer
a reflection over the x - axis
a clockwise rotation of 270° about the origin
a clockwise rotation of 90° about the origin
a reflection over the y - axis

Explanation:

To determine the transformation from Figure A to Figure B, we analyze each option:

• Reflection over x - axis: This would flip the figure vertically, but Figure A and B are symmetric about the y - axis, not the x - axis.
• Clockwise rotation of 270° about the origin: A 270° clockwise rotation is equivalent to a 90° counter - clockwise rotation. This would not map Figure A to Figure B.
• Clockwise rotation of 90° about the origin: A 90° clockwise rotation would change the orientation in a way that does not match the transformation from A to B.
• Reflection over the y - axis: When we reflect a point \((x,y)\) over the y - axis, we get the point \((-x,y)\). By looking at the coordinates of the vertices of Figure A and Figure B, we can see that they are symmetric with respect to the y - axis. So a reflection over the y - axis takes Figure A to Figure B.

Answer:

A reflection over the y - axis